CEMC Problem : Intermediete - Feb 11

1. If 24 is added to a number, the number is tripled. What is the original number?

2. A bowl contains 40g of white rice and 60g of brown rice. If 100g of white rice is added to the mixture, then the percentage of the new mixture that is white rice is

3. If 1/R is the average of 1/4 and 1/6 , then R equals

4. If px = 20; 6x - 3q = 30 and x = 4. then the value of p - q is

5. Positive numbers a, b, c, d, and e have the following property : ab = 2, bc = 3, cd = 4, de = 5. What is the value of e/a?

6. With how many zeros does the product of the first consecutive 10 prime numbers end?

7. An integer is chosen randomly from the integers 1 to 101 inclusive. What is the probability that at least one of the digits of the integer chosen is 7?

8. T and U are two digits of the number 9T68U. This five-digit number is divisible by 15. The number of different possible value of (T + U) is

9. In triangle PQR, PQ = 7, PR = 9, and median PM = 7. the length of QR is

10. The sum of the series
is

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